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Majaess, Fouad; Keast, Patrick; Fairweather, Graeme; Bennett, Karin R.

Algorithm 704: ABDPACK and ABBPACK-FORTRAN programs for the solution of almost block diagonal linear systems arising in spline collocation at Gaussian points with monomial basis functions. (English) Zbl 0892.65051

ACM Trans. Math. Softw. 18, No. 2, 205-210 (1992).

Cited in 14 Documents

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
65F50 Computational methods for sparse matrices
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
65F05 Direct numerical methods for linear systems and matrix inversion
34B15 Nonlinear boundary value problems for ordinary differential equations
34-04 Software, source code, etc. for problems pertaining to ordinary differential equations

Keywords:

FORTRAN programs; systems of linear equations; spline collocation at Gaussian points; monomial spline basis; two-point boundary value; multiple shooting; implicit Runge-Kutta methods; alternate column and row pivoting

Software:

ABDPACK; COLNEW
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